Solve 23x^2-757x+2660=(x-4)(23x-665)

$$23 x ^ { 2 } - 757 x + 2660 = ( x - 4 ) ( 23 x - 665 )$$

Solve for x (complex solution)

$$x\in \mathrm{C}$$

Solution Steps

Use the distributive property to multiply x-4 by 23x-665 and combine like terms.

$$23x^{2}-757x+2660=23x^{2}-757x+2660$$

Subtract 23x^{2} from both sides.

$$23x^{2}-757x+2660-23x^{2}=-757x+2660$$

Combine 23x^{2} and -23x^{2} to get 0.

$$-757x+2660=-757x+2660$$

Add 757x to both sides.

$$-757x+2660+757x=2660$$

Combine -757x and 757x to get 0.

$$2660=2660$$

Compare 2660 and 2660.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{C}$$

Solve for x

$$x\in \mathrm{R}$$

Solution Steps

Use the distributive property to multiply x-4 by 23x-665 and combine like terms.

$$23x^{2}-757x+2660=23x^{2}-757x+2660$$

Subtract 23x^{2} from both sides.

$$23x^{2}-757x+2660-23x^{2}=-757x+2660$$

Combine 23x^{2} and -23x^{2} to get 0.

$$-757x+2660=-757x+2660$$

Add 757x to both sides.

$$-757x+2660+757x=2660$$

Combine -757x and 757x to get 0.

$$2660=2660$$

Compare 2660 and 2660.

$$\text{true}$$

This is true for any x.

$$x\in \mathrm{R}$$